Welfare is "revolution insurance" and only dumb people fail to realize that.
If you totally left the poor to their own, they would revolt and over throw the middle class. (see Bolshvik Rev.)
On the other hand if you give these stupid poor folks just enough to be comfortable they won't want to risk that, so they just shuffle on with their terrible lives, living away from where most of us do not see them, interact with them, go to school with them.
In the end welfare is a benefit to the wealthy and middle class.